Pith Number

pith:46MUD5VS

pith:2026:46MUD5VS7ORYJ25GZVJ3Y4YVA7

not attested not anchored not stored refs resolved

A metric solution for rotating black holes embedded in dark matter halos with central spikes

Rui-Hong Yue, Wei-Liang Qian, Yu-Qian Zhao

Exact analytic metric describes rotating black holes in dark matter halos with central spikes

arxiv:2605.15330 v1 · 2026-05-14 · gr-qc

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\usepackage{pith}
\pithnumber{46MUD5VS7ORYJ25GZVJ3Y4YVA7}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We propose an analytic metric describing rotating black holes surrounded by generic dark matter halos. This metric is an exact solution of the field equations that incorporates a dark matter halo with a central density spike in the vicinity of the black hole.

C2weakest assumption

The dark matter profile is truncated at a radius close to the horizon, in accordance with analyses based on adiabatic invariants, so that the energy density as well as the radial and tangential pressures vanish identically beyond this point.

C3one line summary

An exact analytic metric is constructed for rotating black holes embedded in generic dark matter halos with a central density spike that vanishes beyond a truncation radius near the horizon, generalizing prior spherical solutions.

References

70 extracted · 70 resolved · 45 Pith anchors

[1] Particle Dark Matter: Evidence, Candidates and Constraints 2005 · arXiv:hep-ph/0404175

[2] Review of Observational Evidence for Dark Matter in the Universe and in upcoming searches for Dark Stars 2009 · arXiv:0812.4005

[3] Numerical Simulations of the Dark Universe: State of the Art and the Next Decade 2012 · arXiv:1209.5745

[4] A Universal Density Profile from Hierarchical Clustering 1997 · arXiv:astro-ph/9611107

[5] Adaptive Refinement Tree - a new high-resolution N-body code for cosmological simulations 1997 · arXiv:astro-ph/9701195

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:00:52.927713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e79941f6b2fba384eba6cd53bc731507f4a6083b4910b712f024b64b0a808869

Aliases

arxiv: 2605.15330 · arxiv_version: 2605.15330v1 · doi: 10.48550/arxiv.2605.15330 · pith_short_12: 46MUD5VS7ORY · pith_short_16: 46MUD5VS7ORYJ25G · pith_short_8: 46MUD5VS

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/46MUD5VS7ORYJ25GZVJ3Y4YVA7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e79941f6b2fba384eba6cd53bc731507f4a6083b4910b712f024b64b0a808869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c514ce887e4d707d4fc7d3dc15f61ca289116217c79f1c55aced6a058ed323d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-14T18:51:56Z",
    "title_canon_sha256": "b2aac0fef6b0af1e97c5d2c07f979dd90a2fe9ccf45b3c039f1eb56480bdb5dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15330",
    "kind": "arxiv",
    "version": 1
  }
}